Brandon and Jacob buy used cars at the same time. Brandon buys a car with 10,000 miles on it. He drives an average of 100 miles a week. The equation that follows can be used to determine how many miles, m, will be on the car after any number of weeks of driving, w:

m = 100w + 10,000
So every week you would add 100 miles right? In that case it would take 20 weeks?

Soorry, I forgot to add this part:

In how many weeks will Brandon’s car have 12,000 miles on it? Justify your steps by stating the identity or property used.

Right.

Vic and Eva bayous car at the same time Vic Buys a car with 10,000 miles on it he drives an average of 100 miles a week equation below can be used to determine how many miles M will be on the car after any number of weeks of driving W M equals 100 W plus I thousand

Yes, you are correct. According to the equation m = 100w + 10,000, the value of m represents the total number of miles on the car after w weeks of driving. By substituting the value of 100 for w and solving for m, we can calculate the total number of miles on the car after any given number of weeks.

In this case, if Brandon drives an average of 100 miles per week, we can plug in w = 20 (weeks) into the equation:

m = 100 * 20 + 10,000
m = 2,000 + 10,000
m = 12,000

Therefore, after 20 weeks of driving, Brandon's car will have accumulated a total of 12,000 miles.